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Simplifying 2v2 + -15v + 13 = 0 Reorder the terms: 13 + -15v + 2v2 = 0 Solving 13 + -15v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -1v)(13 + -2v) = 0Subproblem 1
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Subproblem 2
Set the factor '(13 + -2v)' equal to zero and attempt to solve: Simplifying 13 + -2v = 0 Solving 13 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2v = 0 + -13 -2v = 0 + -13 Combine like terms: 0 + -13 = -13 -2v = -13 Divide each side by '-2'. v = 6.5 Simplifying v = 6.5Solution
v = {1, 6.5}
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